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Finding the Fourth Proportional to 22,469.67, 31,007.91 and 12,398.18

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Solution

The fourth proportional to 22,469.67, 31,007.91 and 12,398.18 is: 17,109.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,469.67 : 31,007.91 = 12,398.18 : x
  2. Step 2: Convert to fraction form
    22,469.67/31,007.91 = 12,398.18/x
  3. Step 3: Cross multiply
    22,469.67x = 31,007.91 × 12,398.18
  4. Step 4: Simplify right side
    22,469.67x = 384,441,494.56
  5. Step 5: Solve for x
    x = 384,441,494.56/22,469.67
  6. Step 6: Final answer
    x = 17,109.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.